Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 152, 844, 109, 524 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 844, 109, 524 is 1
GCD(152, 844, 109, 524) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 844, 109, 524 is 1
GCD(152, 844, 109, 524) = 1
Given Input numbers are 152, 844, 109, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Greatest Common Divisior
We found the divisors of 152, 844, 109, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 844, 109, 524 is 1.
Therefore, GCD of numbers 152, 844, 109, 524 is 1
Given Input Data is 152, 844, 109, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 109 is 109
Prime Factorization of 524 is 2 x 2 x 131
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(152, 844) = 32072
GCD(152, 844) = ( 152 x 844 ) / 32072
GCD(152, 844) = 128288 / 32072
GCD(152, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 109) = 436
GCD(4, 109) = ( 4 x 109 ) / 436
GCD(4, 109) = 436 / 436
GCD(4, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
GCD of 152, 844, 109, 524 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 844, 109, 524?
GCD of 152, 844, 109, 524 is 1
2. Where do I get the detailed procedure to find GCD of 152, 844, 109, 524?
You can find a detailed procedure to find GCD of 152, 844, 109, 524 on our page.
3. How to find GCD of 152, 844, 109, 524 on a calculator?
You can find the GCD of 152, 844, 109, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.